Logarithmically modified scaling of temperature structure functions in thermal convection

Details Logarithmically modified scaling of temperature structure functions in thermal convection Logarithmically modified scaling of temperature structure functions in thermal convection

2005-01-09

arxiv.org/abs/nlin/0501019v1

Europhys. Lett., 69 (2005) 75-80

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1209/epl/i2004-10373-4

Using experimental data on thermal convection, obtained at a Rayleigh number of 1.5 $\times 10^{11}$, it is shown that the temperature structure functions $<\Delta T_{r}^p>$, where $\Delta T_r$ is the absolute value of the temperature increment over a distance $r$, can be well represented in an intermediate range of scales by $r^{\zeta_p} \phi (r)^{p}$, where the $\zeta_p$ are the scaling exponents appropriate to the passive scalar problem in hydrodynamic turbulence and the function $\phi (r) = 1-a(\ln r/r_h)^2$. Measurements are made in the midplane of the apparatus near the sidewall, but outside the boundary layer.

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